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The diffraction of elastic waves by small cylindrical cavities

Published online by Cambridge University Press:  17 February 2009

V. T. Buchwald
V. T. Buchwald
Affiliation:
School of Mathematics, University of N.S.W., Kensington, N.S.W. 2033, Australia
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Abstract

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In order to use the method of asymptotic matching for low frequencies, the equations of plane elastostatics are reformulated in terms of the two scalar potentials commonly used in plane elastodynamics. It is shown that the resulting equations of plane elastostatics can be reduced to those first obtained by Muskhelishvili. The use of the formulation is illustrated by considering the case of the plane diffraction of a P wave by a circular, cylindrical cavity of small radius. The results agree with those obtained from the exact solution of the problem.

Type
Research Article
Information
The ANZIAM Journal , Volume 20 , Issue 4 , December 1978 , pp. 495 - 507
Copyright
Copyright © Australian Mathematical Society 1978

References

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